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2135431320 = 23351123371901
BaseRepresentation
bin111111101001000…
…0001100010011000
312111211012011001220
41333102001202120
513333132300240
6551521412040
7103626603201
oct17722014230
95454164056
102135431320
119a6439180
124b719a020
13280545039
141638705a8
15c77155d0
hex7f481898

2135431320 has 256 divisors, whose sum is σ = 7493575680. Its totient is φ = 481536000.

The previous prime is 2135431313. The next prime is 2135431339. The reversal of 2135431320 is 231345312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122370 + ... + 1124270.

It is an arithmetic number, because the mean of its divisors is an integer number (29271780).

Almost surely, 22135431320 is an apocalyptic number.

2135431320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746787840).

2135431320 is an abundant number, since it is smaller than the sum of its proper divisors (5358144360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2135431320 is a wasteful number, since it uses less digits than its factorization.

2135431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2135431320 is about 46210.7273260225. The cubic root of 2135431320 is about 1287.7410378514.

Adding to 2135431320 its reverse (231345312), we get a palindrome (2366776632).

The spelling of 2135431320 in words is "two billion, one hundred thirty-five million, four hundred thirty-one thousand, three hundred twenty".